Tugas Riset Operasi Kelompok 2: Metode Waiting Lines Menggunakan Aplikasi POM-QM

Summary

This video explains the concept of Whitening Linus in operations research, focusing on queuing problems where demand exceeds service capacity. It discusses the goal of minimizing costs related to both service facilities and waiting times. The example involves a character, Maju Jaya, who is evaluating a queuing system with three alternatives: continuing with the current setup, hiring more skilled cashiers, or adding an additional cashier. The video walks through the process of calculating total costs per hour for each alternative using POMQM for Windows, ultimately helping to determine the best solution.

Takeaways

• 😀 Queuing problems arise when the demand for services exceeds the available capacity, causing customers to wait their turn.
• 😀 The primary goal of queuing models is to minimize both service facility costs and the costs incurred from waiting.
• 😀 The example used in the script revolves around a queuing system at a payment point with three alternatives to improve efficiency.
• 😀 In the example, the customer arrival rate is 12 per hour, and the current service time per customer is 4 minutes.
• 😀 The current cashier salary is $2,500 per hour, and the cost of customer waiting time is $20 per minute.
• 😀 The three alternatives to improve the queuing system include: (1) continuing with the current system, (2) hiring more skilled cashiers, and (3) adding an additional cashier.
• 😀 The problem asks to calculate the total cost per hour for each alternative and determine the best solution.
• 😀 To solve the problem, the POMQM for Windows application is used to input data and calculate results for the different alternatives.
• 😀 Parameters entered into the system include arrival rate, service rate, number of services, service cost time, and waiting cost time.
• 😀 After inputting data into the application and solving, results are displayed for each alternative to assess their costs and effectiveness.

Q & A

What is the main focus of the script?

The main focus of the script is explaining the concept of whitening Linus and its application in solving queuing problems in operations research.

What is whitening Linus used for in operations research?

Whitening Linus is used to solve queuing problems that arise when the demand for services exceeds the capacity of available services or facilities.

Why do queuing problems arise?

Queuing problems arise when the demand for services exceeds the available service capacity, causing customers to wait for their turn to be served.

What is the primary objective of the queuing model?

The primary objective of the queuing model is to minimize costs, including both the costs of service facilities and the costs incurred because customers have to wait.

What is the specific queuing problem presented in the example?

The problem involves a character named Maju Jaya considering three alternative solutions for a queuing system at a payment point, based on customer arrival rates, service times, and costs associated with waiting and cashier salaries.

What is the average customer arrival rate in the example?

The average customer arrival rate in the example is 12 people per hour.

What is the cost of waiting in the customer queue in the example?

The cost of waiting in the customer queue is 20 per minute.

What are the three alternatives considered for improving the queuing system?

The three alternatives considered are: (1) continuing with the existing system of one cashier, (2) hiring more skilled cashiers with a higher salary and faster service time, and (3) adding another cashier to create two payment points.

How is the total cost per hour calculated for each alternative?

The total cost per hour for each alternative is calculated by using the POMQM for Windows application, filling in the necessary parameters, and solving for each alternative to determine the total cost.

What specific software is used to analyze and solve the problem in the script?

The POMQM for Windows application is used to analyze and solve the problem in the script.